Interacting Crystalline Topological Phases - Generalized Brillouin Zone Construction

Explore the intricacies of interacting crystalline topological phases in this hour-long lecture by Daniel Sheinbaum from CICESE, Mexico. Delve into the construction of a generalized Brillouin zone for interacting systems, enabling the classification of crystalline interacting topological phases with a single ground state using equivariant cohomology. Compare these findings to crystalline SPT phases and gain insights into ongoing generalizations of this proposal. Discover potential applications involving T-duality, twisted coefficients, type II Von Neumann algebras, and index pairings. Engage with cutting-edge research in condensed matter physics and topological materials, expanding your understanding of complex quantum systems and their interactions.